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Finding the Fourth Proportional to 424,196.24, 585,394.79 and 233,211

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Solution

The fourth proportional to 424,196.24, 585,394.79 and 233,211 is: 321,833.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,196.24 : 585,394.79 = 233,211 : x
  2. Step 2: Convert to fraction form
    424,196.24/585,394.79 = 233,211/x
  3. Step 3: Cross multiply
    424,196.24x = 585,394.79 × 233,211
  4. Step 4: Simplify right side
    424,196.24x = 136,520,503,204.64
  5. Step 5: Solve for x
    x = 136,520,503,204.64/424,196.24
  6. Step 6: Final answer
    x = 321,833.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.